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Assume that we have 60 plots of ground and that we want to select a random sample of 6 plots for an experiment.  We use row 8 of a random number table and go from left to right across the row of random numbers: 96301     91977     05463     07972    18876     20922     94595     56869     69014     60045     18425     84903     42508     32307 Which 6 plots do we include in our random sample?

An insurance company states that their claim office is able to process all death claims for cattle within 5 working days.  Recently there have been several complaints that it took longer than 5 days to process a claim.  Top management sets up a statistical test with a null hypothesis that the average time for processing a claim is 5 days and an alternative hypothesis that the average time for processing a claim is greater than 5 days.  After completing the statistical test, it is concluded that the average exceeds 5 days.  However, it is eventually learned that the mean processing time really is 5 days.  What type of error occurred in the statistical test?

A severe drought has affected several western states in recent years.  A Christmas tree farmer is worried about the drought’s effect on the size of his trees.  To determine whether the growth of his trees has been reduced by the drought, the farmer decides to take a sample of the heights of 6 trees and obtains the following results (recorded in inches): Tree Height 1 60 2 57 3 62 4 69 5 46 6 54 Find the median of the heights of this sample of 6 trees.

One difference between a randomized block experiment and a factorial experiment is that a randomized block experiment only has one observation per cell, whereas a factorial experiment almost always has more than one observation per cell.

The Central Limit Theorem states:  Consider a random sample of n observations selected from any population with mean μ and standard deviation σ.  If the sample size is sufficiently large, then the sampling distribution of the sample mean (X-bar) will be approximately a normal distribution with mean ________ and standard deviation _______.

The average height of a certain ornamental plant is 14 inches and the standard deviation of the heights is 2 inches.  Only 20% of the plants are expected to be less than X inches tall.  Find the value of X.

If we roll a single die, the sample points are 1, 2, 3, 4, 5, or 6.  Consider the following two events:      Event A:  toss an even number on the die      Event B:  toss a number less than or equal to 3 on the die List the sample points that would be included in the union of events A and B (i.e., A U B).

If the lower quartile is farther from the median than the upper quartile, the distribution of data is

A study published in The Journal of American Academy of Business examined whether the perception of service quality at five-star hotels in Jamaica differs by gender.  In order to compare the means of two populations (i.e., male vs. female guests), independent random samples were selected from each population, with the results shown in the table below.  Use these data to construct a 96% confidence interval for the difference in the two population means.   Males Females Sample size 127 114 Sample mean score 39.08 38.79 Sample standard deviation 6.73 6.94

In order to compare the means of two populations, independent random samples are selected from each population, with the results shown in the table below.  Use these data to construct a 98% confidence interval for the difference in the two population means.   Sample 1 Sample 2 Sample size 400 400 Sample mean 5,275 5,240 Sample standard dev. 150 200